2146107648 has 144 divisors (see below), whose sum is σ = 5954417280. Its totient is φ = 685375488.

The previous prime is 2146107629. The next prime is 2146107653. The reversal of 2146107648 is 8467016412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3719136 + ... + 3719712.

It is an arithmetic number, because the mean of its divisors is an integer number (41350120).

Almost surely, 2^2146107648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146107648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977208640).

2146107648 is an abundant number, since it is smaller than the sum of its proper divisors (3808309632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2146107648 is a wasteful number, since it uses less digits than its factorization.

2146107648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2146107648 is about 46326.1011525900. The cubic root of 2146107648 is about 1289.8835397538.

The spelling of 2146107648 in words is "two billion, one hundred forty-six million, one hundred seven thousand, six hundred forty-eight".